Question

The list below shows the quantity of items purchased by customers at a particular checkout counter of a supermarket. 13, 6, 5, 9, 12, 14, 18, 4, 13, 12, 4, 3, 11, 14 Create a histogram that correctly displays the data.

Answer 1

A histogram to show the quantity of items purchased by customers is shown in the picture below.

In this scenario and exercise, you are required to complete a frequency table and create a histogram to show the data distribution. First of all, we would determine the midpoint, absolute frequency, relative frequency, and cumulative frequency;

Class width Midpoint Absolute frequency Rel. frequency

0 - 5 2.5 3 0.214286

5 - 10 7.5 3 0.214286

10 - 15 12.5 7 0.5

15 - 20 17.5 1 0.071429

Mathematically, the relative frequency of a data set can be calculated by using this formula:

Relative frequency = absolute frequency/total frequency × 100

Relative frequency = 3/14 × 100 = 0.214286

Relative frequency = 3/14 × 100 = 0.214286

Relative frequency = 7/14 × 100 = 0.5

Relative frequency = 1/14 × 100 = 0.071429

For the cumulative frequency, we have:

0.214286

0.214286 + 0.214286 = 0.428572

0.428572 + 0.5 = 0.928572

0.928572 + 0.071429 = 1.

In conclusion, the y-axis of the histogram would be labeled number of customers while the x-axis would be labeled number of items purchased.

Answer 2

A histogram is a bar-diagram which shows the frequency of certain data.

If we elaborate frequency table, it would be like

Number Frequency

3 1

4 2

5 1

6 1

9 1

11 1

12 2

13 2

14 2

18 1

Where the total number is N = 14

Now, to graph this table as a histogram, we first need to label each axis. The horizontal axis will represent Numbers and the vertical axis will represent Frequency.

Then, the vertical axis will have marked number 1 and number 2. The horizontal axis will have mared numbers from 3 to 18, as the image attached shows.

After that, we will draw a bar, where each height will be the frequence. Refer to the image attached to see the histogram.